Secretary of State Hillary Clinton has been invited to testify on hostilities in Libya before the House Foreign Affairs Committee, panel spokesman Brad Goehner told POLITICO Wednesday.

The invitation from Foreign Affairs Chairwoman Ileana Ros-Lehtinen (R-Fla.) came as House Speaker John Boehner (R-Ohio) sent a scathing letter to President Barack Obama calling his policy on Libya “contradictory.”

“I and many other members of the House of Representatives are troubled that U.S. military resources were committed to war without clearly defining for the American people, the Congress, and our troops what the mission in Libya is and what America’s role is in achieving that mission,” Boehner wrote Wednesday. “In fact, the limited, sometimes contradictory, case made to the American people by members of your Administration has left some fundamental questions about our engagement unanswered.”

White House officials briefed congressional aides on the situation on Tuesday, saying the United States is not at war with Libya and that command will be handed over to a coalition authority within a matter of days. But that did little to quell dissent from lawmakers — ranging the political spectrum — who believe the president overstepped his proper role by committing troops without advance approval of Congress.

Still, the president got robust new support from House and Senate Democratic leaders on Wednesday, with Senate Majority Leader Harry Reid (D-Nev.) and House Minority Leader Nancy Pelosi (D-Calif.), adding their weight to the administration’s side of the debate.